10224154240 has 64 divisors (see below), whose sum is σ = 24577436520. Its totient is φ = 4067020800.

The previous prime is 10224154219. The next prime is 10224154261. The reversal of 10224154240 is 4245142201.

It is an interprime number because it is at equal distance from previous prime (10224154219) and next prime (10224154261).

It can be written as a sum of positive squares in 4 ways, for example, as 1919841856 + 8304312384 = 43816^2 + 91128^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71710 + ... + 159970.

Almost surely, 2^10224154240 is an apocalyptic number.

10224154240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10224154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12288718260).

10224154240 is an abundant number, since it is smaller than the sum of its proper divisors (14353282280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10224154240 is an equidigital number, since it uses as much as digits as its factorization.

10224154240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88461 (or 88449 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 10224154240 its reverse (4245142201), we get a palindrome (14469296441).

The spelling of 10224154240 in words is "ten billion, two hundred twenty-four million, one hundred fifty-four thousand, two hundred forty".